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Post Closed as "Not suitable for this site" by Alex Degtyarev, abx, Myshkin, Marco Golla, Daniel Moskovich
Added top-level tag; fixed a typo.
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Stefan Kohl ♦
Stefan Kohl ♦
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More specifically, what facts do you need to know.to to conclude $H^2(V) = H^{1,1}$? In general, are there hypersurfaces in $CP^n$ without holomorphic $k$-forms for some k$k$?

More specifically, what facts do you need to know.to conclude $H^2(V) = H^{1,1}$? In general, are there hypersurfaces in $CP^n$ without holomorphic $k$-forms for some k?

More specifically, what facts do you need to know to conclude $H^2(V) = H^{1,1}$? In general, are there hypersurfaces in $CP^n$ without holomorphic $k$-forms for some $k$?

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mokim
mokim
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Is it easy to see that a cubic surface $V$ in $CP^3$ has no holomorphic 2-forms?

More specifically, what facts do you need to know.to conclude $H^2(V) = H^{1,1}$? In general, are there hypersurfaces in $CP^n$ without holomorphic $k$-forms for some k?